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Finding the Fourth Proportional to 253,196.28, 379,794.42 and 66,206.16

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Solution

The fourth proportional to 253,196.28, 379,794.42 and 66,206.16 is: 99,309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,196.28 : 379,794.42 = 66,206.16 : x
  2. Step 2: Convert to fraction form
    253,196.28/379,794.42 = 66,206.16/x
  3. Step 3: Cross multiply
    253,196.28x = 379,794.42 × 66,206.16
  4. Step 4: Simplify right side
    253,196.28x = 25,144,730,137.63
  5. Step 5: Solve for x
    x = 25,144,730,137.63/253,196.28
  6. Step 6: Final answer
    x = 99,309.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.